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Finding the Fourth Proportional to 317,464.71, 438,091.40 and 174,221.07

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Solution

The fourth proportional to 317,464.71, 438,091.40 and 174,221.07 is: 240,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,464.71 : 438,091.40 = 174,221.07 : x
  2. Step 2: Convert to fraction form
    317,464.71/438,091.40 = 174,221.07/x
  3. Step 3: Cross multiply
    317,464.71x = 438,091.40 × 174,221.07
  4. Step 4: Simplify right side
    317,464.71x = 76,324,751,594.69
  5. Step 5: Solve for x
    x = 76,324,751,594.69/317,464.71
  6. Step 6: Final answer
    x = 240,419.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.